DN1240 Numerical Methods, Basic Course II 6.0 credits
Numeriska metoder, grundkurs II
This course has been cancelled.
Basic course in numerical methods.
Education cycleFirst cycle
Main field of studyMathematics
Grading scaleA, B, C, D, E, FX, F
Last planned examination: spring 00.
At present this course is not scheduled to be offered.
Intended learning outcomes
An overlying goal with the course is the realization of the necessity of numerical methods in order to simulate technological and scientific processes based on mathematical models.
After completing this course, the students should be able to
- identify various mathematical problems and reformulate these in a way suitable for numerical treatment
- select a suitable numerical method for the treatment of the given problem
- motivate the choice of a method by describing its advantages and limitations
- select an algorithm leading to efficient computation and implement this in a programming language, suitable for scientific computing, e.g. Matlab
- present the results in a relevant and illustrative way
- provide an estimate of the accuracy of the results
- utilize standard functions from e.g. Matlab's library for calculation, visualization and efficient programming.
Course main content
Basic concepts and ideas: algorithm, local linearization, iteration, extrapolation, discretization, convergence, stability, condition.
Reliability assessment: parameter sensitivity, experimental perturbations, precision.
Numerical methods for: linear systems of equations, nonlinear equations and systems of equations, interpolation, model-fitting with the method of least squares, optimization, quadrature, differential equations.
The application of mathematical software in the solution of scientific and engineering problems, numerical experimentation, and the presentation of final results.
The course contents and teaching may vary somewhat between the programs; more detailed information will be given at http://www.nada.kth.se/kurser/kth/2D1240.
For single course students: completed upper secondary education including documented proficiency in Swedish corresponding to Swedish B, English corresponding to English A. Furthermore: 15 hp in mathematics and 6 hp in computer science or programming technics.
Studying at KTH: mandatory first year courses in mathematics and a course in computer science or programming techniques (e.g. 2D1339).
To be announced at least 4 weeks before course start at course web page. In 08/09: M.T. Heath: Scientific Computing, an introductory survey, McGraw Hill and material produced at the department.
- LABA - Laboratory Work, 1.5, grading scale: P, F
- LABB - Laboratory Work, 1.5, grading scale: P, F
- TEN1 - Examination, 3.0, grading scale: A, B, C, D, E, FX, F
In this course all the regulations of the code of honor at the School of Computer science and Communication apply, see: http://www.kth.se/csc/student/hederskodex/1.17237?l=en_UK.
Requirements for final grade
A written examination (TENl; 3 university credits.).
Computer assignments (LABA; 1,5 university credits.).
Computer assignments with oral and written presentation (LABB; 1,5 university credits.).
Katarina Gustavsson (firstname.lastname@example.org)
The course cannot be counted towards the degree if the student also has taken DN1212, DN1213, DN1214, DN1215, DN1241.
DN2221, DN2222 (only in combination with DN2221), DN2264, DN2266, DN2230, DN2260.
Course syllabus valid from: Autumn 2009.
Examination information valid from: Autumn 2007.